A student observed a sound wave moving through a solid at four different temperatures and recorded her observations in the chart below:

\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{ Wave } & \begin{tabular}{c}
Temperature \\
(degrees Celsius)
\end{tabular} \\
\hline W & 15 \\
\hline X & 33 \\
\hline Y & 12 \\
\hline Z & 25 \\
\hline
\end{tabular}

Which correctly ranks, from fastest to slowest, the time it will take one wavelength to pass a certain point?

A. Wave [tex]$X \rightarrow$[/tex] Wave [tex]$Y \rightarrow$[/tex] Wave [tex]$W \rightarrow$[/tex] Wave [tex]$Z$[/tex]
B. Wave [tex]$Z \rightarrow$[/tex] Wave [tex]$W \rightarrow$[/tex] Wave [tex]$Y \rightarrow$[/tex] Wave [tex]$X$[/tex]
C. Wave [tex]$X \rightarrow$[/tex] Wave [tex]$W \rightarrow$[/tex] Wave [tex]$Y \rightarrow$[/tex] Wave [tex]$Z$[/tex]
D. Wave [tex]$Z \rightarrow$[/tex] Wave [tex]$Y \rightarrow$[/tex] Wave [tex]$W \rightarrow$[/tex] Wave [tex]$X$[/tex]



Answer :

To solve this ranking problem, first note the temperatures associated with each wave:

- Wave W: 15 degrees Celsius
- Wave X: 33 degrees Celsius
- Wave Y: 12 degrees Celsius
- Wave Z: No specific temperature given

It is important to understand that higher temperatures generally result in faster wave propagation. Therefore, we need to rank the waves based on their temperatures from highest to lowest.

Given the temperatures:
- Wave X has the highest temperature at 33 degrees Celsius.
- Wave W has the second highest temperature at 15 degrees Celsius.
- Wave Y has the lowest temperature at 12 degrees Celsius.
- Wave Z does not have a specific temperature listed, but if we assume that the missing data implies it could be significantly high or low, we can rank it accordingly. For simplicity, we assume Wave Z is fast.

Using this information, the ranks from fastest to slowest are:
1. Wave Z (assuming extremely fast due to unspecified high temperature)
2. Wave X (33 degrees)
3. Wave W (15 degrees)
4. Wave Y (12 degrees)

Putting this ranking in the context of the problem:

- The correct ranking from fastest to slowest is:

Wave Z → Wave X → Wave W → Wave Y

None of the other provided options correctly follow this ranking.

Therefore, considering the ranking orders given, the correct ranking from fastest to slowest is:

Wave Z → Wave X → Wave W → Wave Y

Thus, the correct answer is:

Wave Z → Wave X → Wave W → Wave Y